1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotykmax [81]
3 years ago
12

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the sci

entist can use only these two measurements to calculate the distance between the Earth and the shooting star.
Please show steps and explain
Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

Answer:

The scientist can use only the angle x and the distance y to calculate the distance between the Earth and the Sun using the cosine function.Step-by-step explanation:

The cosine of an angle is equal to the ratio of the length of the adjacent side and the length of the hypotenuse. In equation form:

cos x = BC / y

Solving for BC

BC = y cos x

BC is the distance between the Earth and the sun

You might be interested in
A car uses 30 gallons of gasoline for a trip of 800 miles. How many gallons would
atroni [7]

Quantity of gasoline needed by a car to run 800 miles = 30 gallons

Quantity of gasoline needed by a car to run 1 mile =

= 30 ÷ 800

= 0.0375 gallons

So , to run 1 mile a car would need = 0.0375 gallons of oil

To run 700 miles the quantity of gasoline needed =

= 700 × 0.0375

= 26.25 gallons of gasoline

Therefore , a car will use 26.25 gallons of gasoline on a trip of 700 miles .

6 0
4 years ago
Read 2 more answers
Michael is riding his bicycle a distance of 2.5 miles to Jason's house. He has ridden 1.7 miles so far. If d = the distance in m
lesya692 [45]
The answer I believe would be c.
3 0
3 years ago
Read 2 more answers
What is the graph of the direct variation equation? Y=5/2x
Aneli [31]

Given equation : y=5/2x.

Solution: In order to graph direct variation equation, we need to make a table of different values of x and y.

We need to plug some values of x's in equation to get values of y's.

Because, we have fraction 5/2, and 2 in denominator. So it would be better to take multiples of 2, so that we don't get values in decimals.

Let us take x=0 first.

Plugging x=0 in given equation, we get

y=5/2x = 5/2(0) = 0.

Let us take x=2 first.

Plugging x=2 in given equation, we get

y=5/2 *(2) = 5

Let us take x=2 first.

Plugging x=4 in given equation, we get

y=5/2 *(4) = 5 *2 = 10.

We got three coordinates for the graph (0,0) , (2,5) and (4, 10).

Let us plot those coordinates on the graph and join the points to draw a straight line.


6 0
4 years ago
To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

7 0
3 years ago
Help <br><br> X(-X^4)(-x^4)=
Kruka [31]
X(-x^4)(-x^4)=

The answer is x^9
4 0
3 years ago
Other questions:
  • Find the area of the shaded segment. Round your answer to the nearest square centimeter. 24 cm2 23 cm2 21 cm2 22 cm2
    11·1 answer
  • Solve for a: −40+10a=-70
    9·2 answers
  • If 8x - 7 = 33 then what does x stand for
    9·2 answers
  • 4y + 5 + 3y<br><br> Identify the terms, like terms coefficients, and constants in each expression
    5·2 answers
  • Help please with his if you don't mind!!!!!
    8·1 answer
  • A bear eats 125 pounds of food each week.
    10·1 answer
  • Help!!!
    9·1 answer
  • I need the answers pleasee
    8·1 answer
  • Brian will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $49 and costs an add
    13·1 answer
  • 9. Find the length of x in the right triangle. Give your answer to two decimal places.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!